Let $f(x)=\sqrt[9]{2x+3}$

$($a$)$ Sort the following operations in the order they are applied to $x$ in $f(x).($Click and drag to sort items.$)$

Add $3$

$($b$)$ Consider the inverse function $f^{-1}(x).$ Sort the following operations in the order they would be applied

to $x$ in $f^{-1}(x)$

$($c$)$ What is the inverse function $f^{-1}(x)?$

$f^{-1}(x)=$